Construct a trace table to trace the action of the algorithm below for the input variables given. a := 53, d := 11 r:= a, q := 0 while (r 2 d) r:=r - d 9 := q + 1 end while iteration 3 4 a 53 d 11 53

Nested Loops with Addition Principle This algorithm lists the number of strings formed from the symbols in set D (defined below) of length 4 or less with repetitions allowed. Count the number of operations in each loop and determine the total number of operations. Let D = a set of distinct symbols where |D| = 12. for x = D do print x for x = D do for y ED do print xy for x ED do for y ED do for 2 ED do print xyz for a ED do for y ED do for z E D do for q E D do print xyzq

Find the Time Complexity and The Space Complexity

9. Give a big-O estimate for the number of operations, where an operation is an addition or a multiplication, used in this segment of an algorithm.